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Linear Programming Introduction
| Courses | Mathematical
Formulation | Student Problems |
Applications| Software Linear
Programming is the most developed technique of Management Science and
Operations Research, and we present a selection of interesting links on it. |
| Introduction |
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Frequently
Asked Questions on Linear Programming This is an excellent presentation of
Linear Programming, in the form of structured questions and answers, prepared
and maintained by Prof. R. Fourer of Northwestern University, in collaboration
with Argonne National Laboratories. It is a brief review on Linear Programming that mainly includes the history and the mathematical basis for this method.
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| Courses |
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Lecture
notes from Princeton University on Linear Programming
Lecture notes based on the book
"Foundations and Extensions" for Graduate Level students. The book is available
on-line. (Refer to the "Mathematical Formulation" section) Course notes on the simplex method by
Michael Trick from the Carnegie Mellon Universtity. This site consists of seven assignments, its solutions, twenty lectures and general material from the University of Waterloo.
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| Mathematical Formulation of LP Problems |
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A Book on LP Linear
Programming: Foundations and Extensions A book about covers a wide range of
subjects concerning optimization and is a valuable source for those who want to
learn more about the mathematical formulation of this type of problems. It is
written by Robert J. Vanderbei from the Department of Operations Research and
Financial Engineering of Princeton University and is used a course book from
many Universities. The Simplex method The simplex method was the first
method developed to solve linear programs. In these pages, this site attempts
to teach how the simplex method works. Users can select the size of the problem
that they want to solve, enter the data, and watch the simplex method go
through each step, of every iteration, of the method. Modeling with Linear Programming This is a brief review on Simplex
Method that mainly includes the history and the mathematical basis for this
method. What follows is a series of
interesting articles on the simplex method. They all place mathematical
emphasis on the algorithm.
Tutorials on the Simplex Method Stefan
Waner and Steven R. Costenoble from the Department of Mathematics in Hofstra
University, provide us with easy tutorials and an quick quiz in linear
programming. Introduction
to Linear Programming and Simplex method (1) Introduction
to Linear Programming and Simplex method (2) A tutorial on
Linear Programming, with emphasis on the mathematical formulation, by Michael
Trick from the Graduate School of Industrial Administration of
the Carnegie Mellon University.
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| Student Problems |
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Student Problems in English Sensitivity Analysis and Duality Sensitivity Analysis and Duality using Solver Student Problems in Greek |
| Applications |
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The Diet Problem: A Linear Programming Problem
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| Software |
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Software
Review by OR/MS Today This is an overview article,
published in OR/MS Today, presenting the various software for Linear
Programming LP
Software Review by Argonne National Laboratories This is an overview article,
published in Argonne National Laboratories, presenting various software for
Linear Programming.
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